row_id
int64
0
36.7k
QuestionId
int64
31.8k
109k
QuestionText
stringclasses
15 values
MC_Answer
stringclasses
49 values
StudentExplanation
stringlengths
1
586
Category
stringclasses
6 values
Misconception
stringclasses
35 values
24,200
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i changed the number on the bottom to 15 on both fractions. i multiplied 1 by 5 and multiplied 2 by 3, then i added them together
True_Correct
null
24,201
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i changed their denominators to 15 and did the appropriate multiplication for the numerators. this equated to 11 over 15
True_Correct
null
24,202
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i changed them in to fifteenth
True_Neither
null
24,203
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i changed them into common denominator and added them together
True_Neither
null
24,204
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i changed them to 15ths and then added them up to get 11/15
True_Correct
null
24,205
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i choose d because the fractions denominator have to be the same, to get the same denominator you need to times 1/3 by 5 and 2/5 by 3, that will equal 5/15 + 6/15 which equals 11/15.
True_Correct
null
24,206
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i chose "d" as my answer because 3x5 is 15 so thus the bottom is 15 but then is the bottom changes the top changes to into a higher or lower variable, in our case it is a higher number so the answer must be higher than 3
True_Neither
null
24,207
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i chose 11/15 because 1/3=5/15 and 2/5=6/15 and if you add them together it makes 11/15
True_Correct
null
24,208
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i chose chose d because i first found the common denominator, which is 15. after, i multiplied 5 to 1 and 3 to 2 for the nominator. then, i added and got 11/15
True_Correct
null
24,209
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i chose d because 1/3 is 5/15 and 2/5 is 6/15 and if you add them together, you get 11/15
True_Correct
null
24,210
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i chose d because i found the common denominator and i timsed the top
True_Neither
null
24,211
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i chose d for my answer because i first found the denominator by finding the most common multiple then i multiplied the 1 by 5 and the 2 by 3. therefore my answer is 11/15
True_Correct
null
24,212
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i chose the answer d because 3 and 5 both go into 15. 2x3=6 and 1x5=5
True_Correct
null
24,213
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i chose the number 15 to multiply 3 and 5, so that means i have to multiply the numerator.
True_Neither
null
24,214
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i clicked d the first time
True_Neither
null
24,215
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i convert them so that they both have an equal denominator; 15. 5/15+6/15=11/15.
True_Correct
null
24,216
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i converted 1/3 into 5/15 and 2/5 into 6/15. add them together and you get 11/15
True_Correct
null
24,217
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i converted 1/3 to 5/15 and 2/5 into 6/15. then i added them together which is just 5+6=11 so it must be 11/15
True_Correct
null
24,218
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i converted 1/4 and 2/5 into fifteenths and then added them together and got my answer
True_Neither
null
24,219
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i converted both fractions into 15ths
True_Neither
null
24,220
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i converted i/3 to 5/15 then converted 2/5 to 6/15. then i added 5/15 and 6/15 which equals 11/15
True_Correct
null
24,221
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i converted it into 15ths and added the numerators getting my answer.
True_Neither
null
24,222
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i converted it to 15ths through 3x5 and 5x3
True_Neither
null
24,223
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i converted the denominator to 15 then added the numerators together to get eleven fithteenths
True_Correct
null
24,224
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i converted the denominators to 15 ( the lowest common multiple) and then i did 1x5 and 2x3 so i got 5/15 add 6/15 which is 11/15
True_Correct
null
24,225
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i converted the fractions into /15 then added the numerators together and that was my answer
True_Correct
null
24,226
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i converted the fractions into 5/15 and 6/15 so that the denominator is the same and then added the numerators to get 11/15 which you can't simplify so it stays like that
True_Correct
null
24,227
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i converted the fractions into fifteenths and then added them
True_Correct
null
24,228
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i converted the fractions to 5/15 and 6/15 and added them together
True_Correct
null
24,229
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i converted the fractions to get 6/15 and 5/15 and added them to 11/15.
True_Correct
null
24,230
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i converted the fractions to mixed jim we and added five fifteenths to six fifteenths
True_Correct
null
24,231
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i converted them both to /15 so it would be 5/15 + 6/15= 11/15
True_Correct
null
24,232
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i converted them both with the same denominator 15 and the fractions became 5/15 + 6/15 = 11/15.
True_Correct
null
24,233
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i converted them int o 15ths then added them
True_Neither
null
24,234
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i converted them into 15 and then i got the answer 5/15 and 6/15 added them together and got 11/15
True_Correct
null
24,235
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i converted them into 15th and added them together.
True_Neither
null
24,236
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i converted them into the same denominator, which is 15 5/15 + 6/15 = 11/15
True_Correct
null
24,237
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i converted them to 15 and i got 11/15
True_Neither
null
24,238
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i converted them to have a denominator of 15, then added the numerators
True_Neither
null
24,239
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i di the calculation i got this
True_Neither
null
24,240
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i did 3 time 5 and 5 times 3 =15
True_Neither
null
24,241
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i did 3 time s5 =15 and 5 times 3 =15
True_Neither
null
24,242
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i did 3 times 5 and 5 times 3 then times the top what you timesd the bottom to get your answer.
True_Correct
null
24,243
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i did 3 times 5 to make 15 and 5 times 3 so they have the same denominator. then i times the top like what i did by the bottom the added them numbers together.
True_Correct
null
24,244
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i did 3x5 and 5x3 = 15 1x5=5 and 2x3=6 last is 6+5= 11 so it is 11/15
True_Correct
null
24,245
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i did 3x5 which is 15 than 3x2 and 1x5
True_Neither
null
24,246
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i did a sum and got it
True_Neither
null
24,247
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i did criss cross apple sause
True_Neither
null
24,248
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i did five over fifthteen plus 6 over fifthteen
True_Correct
null
24,249
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i did it on a whiteboard
True_Neither
null
24,250
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i did my fraction chain to get from 1/3 to 5/15 and 2/5 to 6/15
True_Correct
null
24,251
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i did the lowest multiple of 3 and 5 which is 15 then i timzed the numerator the same times i did to the denominator amd i added them both up
True_Correct
null
24,252
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i did the method that you would use for this type of question.
True_Neither
null
24,253
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i did the. i’m an denominator and this was the answere
True_Neither
null
24,254
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i did working out. i had to change it to 5/15 + 6/15 and it got me to 11/15
True_Correct
null
24,255
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i don't know how to explain
True_Neither
null
24,256
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i dont know how to explain
True_Neither
null
24,257
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i dont know how to explain it
True_Neither
null
24,258
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i don’t know how to explain it
True_Neither
null
24,259
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i don’t think how to explain this.
True_Neither
null
24,260
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i find the lcm of 3 and 5, which is 15, then multiply it with 5 and 3, and add the two numerator together.
True_Correct
null
24,261
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i first changed the denominator then added the fractions
True_Neither
null
24,262
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i first changed the denominator to 15 so it was 5/15+6/15 which was 11/15
True_Correct
null
24,263
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i first find a common denominator, which is 15, then i times the numerator with the opposite denominator, which brings me to 5 over 15 and 6 over 15, which makes 11 over 15
True_Correct
null
24,264
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found a common denomanator the timesed the top
True_Neither
null
24,265
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found a common denominator (15) and then worked the question out from there.
True_Neither
null
24,266
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found a common denominator and added the new sum up
True_Neither
null
24,267
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found a common denominator and it was 15 and then i added them together and it was 11/15
True_Correct
null
24,268
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found a common denominator and that is 15 and then i added them together and i got 11/15
True_Neither
null
24,269
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found a common denominator and then added the fractions
True_Neither
null
24,270
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found a common denominator and then added them
True_Neither
null
24,271
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found a common denominator then timsed the numerator by 3 and 5 then added the fractions together.
True_Neither
null
24,272
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found a number that is in the five and three times tables then multiplied 2 by 3 then 5 by1
True_Correct
null
24,273
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found equivalent fractions with the same denominator and then added the numerators.
True_Neither
null
24,274
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the answer by multiplying both denomenators to have a equal number. 3 and 5's lcf is 15, so i multiplied 3 by 5, and 5 by 3, and i got 5/15+6/15. i add 5 and 6 togeather, because the denomentators are equivelent
True_Correct
null
24,275
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the common denominator (15) and then did a simple addition
True_Neither
null
24,276
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the common denominator 15 then added them
True_Neither
null
24,277
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the common denominator and did the same to the top
True_Neither
null
24,278
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the common denominator and then converted it
True_Neither
null
24,279
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the common denominator and times the top number by 3 or 5
True_Neither
null
24,280
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the common denominator of 3 and 5 so now 1 becomes 5 and 2 becomes 6, so all i had to do was just add the numerator when i was finished with my calculations.
True_Correct
null
24,281
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the common denominator which is 15 then i had to change the numerators and then add them which got me 11/15
True_Correct
null
24,282
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the common denominators then i multiplied the numerators and added my answers
True_Correct
null
24,283
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the lcm and timesd it to get the answer
True_Neither
null
24,284
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the lcm between 3 and 5 which was 15 then multiplied the numerators by how ever much i need to multiply the demoninators to get 15. lastly i added the fractions together.
True_Correct
null
24,285
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the lcm of 5 and three and then i changed the denominator and added them together.
True_Neither
null
24,286
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the lcm of the denominator then multiplied the numerator by how much the denominator was
True_Neither
null
24,287
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the lcm which is 15 so i did 5/15 +6/15
True_Correct
null
24,288
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the lowest comen multiple then added
True_Neither
null
24,289
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the lowest common denominator and added them together
True_Neither
null
24,290
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the lowest common denominator and then added them together
True_Neither
null
24,291
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the lowest common denominator of three and five which is fifteen and changed the denominater to fifteen. then i multiplied two and five together which equals ten. but then i added on the one to get eleven. so the answer is 11/15.
True_Neither
null
24,292
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the lowest common denominator then added the numerators to get 11/15.
True_Neither
null
24,293
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the lowest common denominator which was 15 then times 2 by 3 and 1 by 5
True_Correct
null
24,294
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the lowest common multiple and added them to get the answer
True_Neither
null
24,295
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the lowest common multiple of 3 and 5 which is 15 then i multiplied 2 by 3 and 1 by 5 to give me 5/15 and 6/11 and added the numerators together to give 11/15
True_Correct
null
24,296
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the lowest common multiple which is 15. i changed 1/3 to 5/15 and 2/5 to 6/15 and then added them together
True_Correct
null
24,297
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the nearest common denominator, and timed the fractions to make them 5/15 + 6/15.
True_Correct
null
24,298
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the same donimater for 3 and 5 and then x 1 with 5 and x 2 with 3. then plused it all together
True_Neither
null
24,299
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
i found the smallest matching denominator then times them by how many it goes into them then added them together as new fractions.
True_Correct
null